Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025v |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-46903347421875 = -1 · 36 · 57 · 77 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14700,761031] |
[a1,a2,a3,a4,a6] |
Generators |
[105:612:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
3.908360457829 |
L(r)(E,1)/r! |
Ω |
0.61737401659329 |
Real period |
R |
0.79132753257814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225a1 2205g1 1575e1 |
Quadratic twists by: -3 5 -7 |